Browsing by Subject "Gorenstein flat dimension"

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    A refinement of Gorenstein flat dimension via the flat–cotorsion theory
    (ScienceDirect, 2021-02-01) Christensen, Lars Winther; Estrada, Sergio; Liang, Li; Thompson, Peder; Wu, Dejun; Yang, Gang; Matemáticas
    We introduce a refinement of the Gorenstein flat dimension for complexes over an associative ring—the Gorenstein flat-cotorsion dimension—and prove that it, unlike the Gorenstein flat dimension, behaves as one expects of a homological di-mension without extra assumptions on the ring. Crucially, we show that it coincides with the Gorenstein flat dimension for complexes where the latter is finite, and for complexes over right coherent rings—the setting where the Gorenstein flat dimension is known to behave as expected.
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    Gorenstein weak global dimension is symmetric
    (Wiley online library, 2021-11-08) Christensen, Lars Winther; Estrada, Sergio; Thompson, Peder; Matemáticas